Question: [5 pts:] Separable. Find the explicit general solution (one C ), y (x). dy /dx= 3/3y^1-x^2 (#7) Consider the IVP: y' = (y-1)^2/3, y(0) =

[5 pts:] Separable. Find the explicit general solution (one C ), y (x).

dy /dx= 3/3y^1-x^2

(#7) Consider the IVP:

y' = (y-1)^2/3, y(0) = 1

(a) [3 pts:] Find the explicit IVP solution, y (x)

(b) [2 pts:] According to Theorem 1, is this solution guaranteed to be UNIQUE? Explain your reasoning!

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